Statement 1: If there exist points on the circle `x^2+y^2=a^2` from which two perpendicular tangents can be drawn to the parabola `y^2=2x ,` then `ageq1/2` Statement 2: Perpendicular tangents to the parabola meet at the directrix.

If there exists at least one point on the circle x^(2)+y^(2)=a^(2) from which two perpendicular tangents can be drawn to parabola y^(2)=2x , then find the values of a.

Number of point (s) outside the hyperbola x^(2)/25 - y^(2)/36 = 1 from where two perpendicular tangents can be drawn to the hyperbola is (are)

Number of points from where perpendicular tangents can be drawn to the curve x^2/16-y^2/25=1 is

The points on the ellipse (x^(2))/(2)+(y^(2))/(10)=1 from which perpendicular tangents can be drawn to the hyperbola (x^(2))/(5)-(y^(2))/(1) =1 is/are

How many distinct real tangents that can be drawn from (0,-2) to the parabola y^2=4x ?

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

Statement 1 : There can be maximum two points on the line p x+q y+r=0 , from which perpendicular tangents can be drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 Statement 2 : Circle x^2+y^2=a^2+b^2 and the given line can intersect at maximum two distinct points.

Show that the locus of point of intersection of perpendicular tangents to the parabola y^2=4ax is the directrix x+a=0.

If eight distinct points can be found on the curve |x|+|y|=1 such that from eachpoint two mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2, then find the range of adot

The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax